Articles

SEPARATION PROPERTY OF POSITIVE RADIAL SOLUTIONS FOR A GENERAL SEMILINEAR ELLIPTIC EQUATION

  • YANG Fen ,
  • ZHANG Dan-Dan
Expand

Received date: 2008-02-28

  Revised date: 2009-04-10

  Online published: 2011-01-20

Supported by

Supported by the Natural Science Foundation of China (10901126)

Abstract

The asymptotic behavior at infinity and an estimate of positive radial solutions of the equation 

Δu +∑ki=1cirliupi = 0, x ∈Rn, (0.1)

are obtained and the structure of separation property of positive radial solutions of Eq. (0.1) with different initial data α is  discussed.

Cite this article

YANG Fen , ZHANG Dan-Dan . SEPARATION PROPERTY OF POSITIVE RADIAL SOLUTIONS FOR A GENERAL SEMILINEAR ELLIPTIC EQUATION[J]. Acta mathematica scientia, Series B, 2011 , 31(1) : 181 -193 . DOI: 10.1016/S0252-9602(11)60219-1

References


[1] Bae S. Asymptotic behavior of positive solutions of inhomogeneous semilinear elliptic equations. Nonlinear Analysis, 2002, 51: 1373–1403


[2] Bae S. Separation structure of positive radial solutions of a semilinear elliptic equation in Rn. J Differential Equations, 2003, 194: 460–499


[3] Bae S. Infinite multiplicity and separation structure of positive solutions for a semilinear elliptic equation in Rn. J Differential Equations, 2004, 200: 274–311


[4] Bae S, Chang T K. On a class of semilinear elliptic equations in Rn. J Differential Equations, 2002, 185: 225–250


[5] Bae S, Chang T K, Pahk D H. Infinite multiplicity of positive entire solutions for a semilinear elliptic equation. J Differential Equations, 2002, 181: 367–387


[6] Bae S, Ni W M. Existence and infinite multiplicity for an inhomogeneous semilinear elliptic equation on Rn. Math Ann, 2001, 320: 191–210


[7] Chen S H, Lu G Z. Asymptotic behavior of radial solutions for a class of semilinear elliptic equations. J Differential Equations, 1997, 133: 340–354


[8] Deng Y, Li Y. Existence of multiple positive solutions for a semilinear elliptic equation. Adv Differential Equations, 1997, 2: 361–382


[9] Deng Y, Li Y. On the existence of multiple positive solutions for a semilinear problem in exterior domains. J Differential Equations, 2002, 181: 197–229


[10] Deng Y, Li Y, Yang F. On the stability of the positive radical steady states for a nonhomogeneous semilinear Cauchy problem. J Differential Equations, 2006, 228: 507–529

Outlines

/